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Finding the Fourth Proportional to 582.54, 803.37 and 499.62

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Solution

The fourth proportional to 582.54, 803.37 and 499.62 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 803.37 = 499.62 : x
  2. Step 2: Convert to fraction form
    582.54/803.37 = 499.62/x
  3. Step 3: Cross multiply
    582.54x = 803.37 × 499.62
  4. Step 4: Simplify right side
    582.54x = 401,379.72
  5. Step 5: Solve for x
    x = 401,379.72/582.54
  6. Step 6: Final answer
    x = 689.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.